Answer:6
Step-by-step explanation:
Area of a rectangle = length × width
Length = 8
Breadth = ?
Area = 48
L × B = Area
8 × B = 48
Divide both sides by 8
B = 48 ÷ 8
B = 6
Answer: Level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.
Step-by-step explanation:
Since we have given that
Height = 9 inches
Diameter = 6 inches
Radius = 3 inches
So, 
Volume of cone is given by
By differentiating with respect to time t, we get that
Now, the liquid drips out the bottom of the filter at the constant rate of 4 cubic inches per second, ie 
and h = 2 inches deep.
Hence, level of the liquid dropping at 28.28 inch/second when the liquid is 2 inches deep.
To solve this, let's use the variable 'x' to represent the money invested:
11(0.026(x)) = 6500
0.286x = 6500
Divide:
x = 227272.7272...
We can round up:
x = 227272.73
June has to invest $227272.73
Answer:
Step-by-step explanation:
Because MK is a diameter, then angle L is a right angle. We already know that the measure of angle K is 50, so the measure of angle M has to be 40 because of the triangle angle-sum theorem. The rule for inscribed angles and the arcs they cut off is that the angle is half the measure of its intercepted arc or, likewise, the arc is twice the measure of the angle that cuts it off. Since arc LK is across from angle M and is cut off by angle M, then arc LK is twice the measure of angle M, and is 80. That's the same reason why angle L is 90; arc MK is a semi-circle, with a degree measure of 180, and angle L is half of that.
Arc LK = 80
Answer:
b / (b - 8)
Step-by-step explanation:
Given that :
Litres of water held by bucket = b
Jar holds 8 litres fewer than bucket; hence, litres held by jar = b - 8
The number of times bucket can hold than jar is :
Litres held by bucket / litres held by jar
b / (b - 8)
